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Abstract

A new five parameter Fréchet model for Extreme Values was proposed and studied. Various mathematical properties including moments, quantiles, and moment generating function were derived. Incomplete moments and probability weighted moments were also obtained. The maximum likelihood method was used to estimate the model parameters. The flexibility of the derived model was accessed using two real data set applications.

Keywords

Fréchet Weibull-G Moments Hazard rate hazard rate Maximum Likelihood.

Article Details

Author Biographies

Haitham M. Yousof, Department of Statistics, Mathematics and Insurance, Benha University, Benha, Egypt.

Department of Statistics, Mathematics and Insurance, Benha University, Benha, Egypt.

Sharqa Hashmi, Uinversity of the Punjab

Assistant Professor Statistics Department, Lahore College for Women University. Lahore
How to Cite
Haq, M. A. ul, Yousof, H. M., & Hashmi, S. (2017). A New Five-Parameter Fréchet Model for Extreme Values. Pakistan Journal of Statistics and Operation Research, 13(3), 617-632. https://doi.org/10.18187/pjsor.v13i3.1727